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Simplifying 3x + 1 = 5(x + -5) Reorder the terms: 1 + 3x = 5(x + -5) Reorder the terms: 1 + 3x = 5(-5 + x) 1 + 3x = (-5 * 5 + x * 5) 1 + 3x = (-25 + 5x) Solving 1 + 3x = -25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = -25 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -25 + 0 1 + -2x = -25 Add '-1' to each side of the equation. 1 + -1 + -2x = -25 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -25 + -1 -2x = -25 + -1 Combine like terms: -25 + -1 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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